Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.

• Question 911: If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface reduced? Options:
  A) 8 : 125
  B) 2 : 5
  C) 8 : 25
  D) 4 : 25
  E) 4 : 10
  Show Answer
  The correct answer is D .
• Question 912: If cos $\theta$ = $\frac{x}{y}$, find cosec$\theta$ Options:
  A) $\frac{1}{y}$(x² + y²)
  B) $\frac{x}{y}$
  C) $\frac{1}{y}$$\sqrt{x^2+y^2}$
  D) $\frac{x-y}{y}$
  Show Answer
  The correct answer is C .
• Question 913: if 12 = x, find x where e = 12 Options:
  A) 20
  B) 15
  C) 14
  D) 12
  Show Answer
  The correct answer is A .
• Question 914: What must be added to 4x² - 4 to make it a perfect square? Options:
  A) $\frac{-1}{x^2}$
  B) $\frac{1}{x^2}$
  C) 1
  D) -1
  Show Answer
  The correct answer is B .
• Question 915: T varies inversely as the cube of R. When R = 3, T = $\frac{2}{81}$, find T when R = 2 Options:
  A) $\frac{1}{18}$
  B) $\frac{1}{12}$
  C) $\frac{1}{24}$
  D) $\frac{1}{6}$
  Show Answer
  The correct answer is B .
• Question 916: If two graphs y = px² + q and y = 2x² -1 intersect at x = 2, find the value of p in terms q. Options:
  A) $\frac{q-8}{7}$
  B) $\frac{7-q}{4}$
  C) $\frac{8-q}{2}$
  D) $\frac{7+q}{8}$
  Show Answer
  The correct answer is B .
• Question 917: Simplify 10² + log₁₀5 Options:
  A) 500
  B) 2 log₁₀ 5
  C) 10
  D) 25
  E) log₁₀5 x 10¹⁰⁰
  Show Answer
  The correct answer is E .
• Question 918: If M represents the median and D the mode of the measurements 5, 9, 3, 5, 8 then (M, D) is Options:
  A) (6, 5)
  B) (5, 8)
  C) (5, 7)
  D) (5, 5)
  E) (7, 5)
  Show Answer
  The correct answer is D .
• Question 919: What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0 Options:
  A) A circle of radius 4 cm and with centre O
  B) The perpendicular bisector of the chords
  C) a straight line passing through centre O
  D) A circle of radius 6 cm and with centre O
  Show Answer
  The correct answer is A .
• Question 920:

  The ages of students in a small primary school were recorded in the table below.

  Age	5 - 6	7 - 8	9 -10
  Frequency	29	40	38

  
  Estimate the mean

  Options:
  A) 7.7
  B) 7.5
  C) 7.8
  D) 7.6
  Show Answer
  The correct answer is A .